Azeem123
Hi Bunuel,
What if the sign is >, then we take the range of greater value always? Like you have mentioned < sign indicates the roots must be between the true values
If the sign is “< 0,” the solution is between the roots.
If the sign is “> 0,” the solution would be to the left of the smaller root and to the right of the larger root on the number line.
So with it were \((x+\frac{1}{9})(x-1)>0\), we'd get
x < -1/9 or x > 1.
The link given in the solution you quote explains this. Other links in the thread give even more information on the topic. Please follow the links provided.